Why care about Schwartz? (was Re: [EM] Re: are ranked pairs and river Schwartz-consistent?)

[Steve Eppley]

Hi,
Chris B wrote:
-snip-
> Does any problem arise with RP, River etc. if a line 
> is simply added at the front "Eliminate non-members 
> of the Schwartz set"?

One could also postpone that rule, making it the 
first tie-breaker, depending on the voting method.  

Why should we care about ensuring the winner be 
in the Schwartz set?  Isn't that just one of many 
unimportant "aesthetic consistency" criteria?
Why complicate a good method, making it more 
difficult for the public to understand?

--Steve